Finding the Third Proportional to 30,223.50 and 47,730

Step by Step Solution

1. Step 1: Write the proportion equation
   30,223.50 : 47,730 = 47,730 : x
2. Step 2: Convert to fraction form
   30,223.50/47,730 = 47,730/x
3. Step 3: Cross multiply
   30,223.50x = 47,730 × 47,730
4. Step 4: Simplify right side
   30,223.50x = 2,278,152,900
5. Step 5: Solve for x
   x = 2,278,152,900/30,223.50
6. Step 6: Final answer
   x = 75,376.87